oj.uz

Submission #446426

# Submission time Handle Problem Language Result Execution time Memory
446426 2021-07-21T22:02:36 Z MladenP Capital City (JOI20_capital_city) C++17
100 / 100
 686 ms 39196 KB 
#include <bits/stdc++.h>
#define PRINT(x) cerr<<#x<<'='<<x<<endl;
#define NL(x) " \n"[(x)]
#define lld long long
#define pil pair<int,lld>
#define pli pair<lld,int>
#define pll pair<lld,lld>
#define pii pair<int,int>
#define pb push_back
#define fi first
#define se second
#define mid (l+r)/2
#define endl '\n'
#define all(a) begin(a),end(a)
#define sz(a) int((a).size())
#define LINF 1000000000000000LL
#define INF 1000000000
#define EPS 1e-9
using namespace std;
#define MAXN 200010
int N, K, C[MAXN], siz[MAXN], par[MAXN], sol;
bool vis[MAXN], col[MAXN], pos[MAXN], ovde[MAXN];
vector<int> adj[MAXN], v, pC[MAXN];
int dfsSize(int node, int prev) {
    siz[node] = 1;
    for(auto x : adj[node]) {
        if(!vis[x] && x != prev) siz[node] += dfsSize(x, node);
    }
    return siz[node];
}
int dfsCent(int node, int prev, int S) {
    for(auto x : adj[node]) {
        if(!vis[x] && x != prev && siz[x] > S/2) return dfsCent(x, node, S);
    }
    return node;
}
void dfsParent(int node, int prev) {
    par[node] = prev;
    ovde[node] = true;
    v.pb(node);
    for(auto x : adj[node]) {
        if(!vis[x] && x != prev) dfsParent(x, node);
    }
}
vector<int> nv;
int boja = 0;
bool addColor(int color) {
    if(col[color]) return true;
    boja++;
    col[color] = true;
    for(auto x : pC[color]) {
        if(!ovde[x]) return false;
        if(!pos[x]) nv.pb(x);
    }
    return true;
}
void centDecomp(int node) {
    int S = dfsSize(node, node);
    node = dfsCent(node, node, S);
    vis[node] = 1;
    dfsParent(node, node);
    boja = 0;
    if(!addColor(C[node])) {
        nv.clear();
        boja = K;
    }
    while(!nv.empty()) {
        int cur = nv.back(); nv.pop_back();
        if(pos[cur]) continue;
        while(1) {
            pos[cur] = true;
            if(!addColor(C[cur])) {
                nv.clear();
                boja = K;
                break;
            }
            if(par[cur] == cur || pos[par[cur]]) break;
            cur = par[cur];
        }
    }
    sol = min(sol, boja);
    for(auto x : v) pos[x] = ovde[x] = col[C[x]] = 0;
    v.clear();
    for(auto x : adj[node]) if(!vis[x]) centDecomp(x);
}
int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    cin >> N >> K;
    for(int i = 1; i <= N-1; i++) {
        int x, y; cin >> x >> y;
        adj[x].pb(y);
        adj[y].pb(x);
    }
    for(int i = 1; i <= N; i++) {
        cin >> C[i];
        pC[C[i]].pb(i);
    }
    sol = K;
    centDecomp(1);
    cout << sol-1;
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9620 KB Output is correct
6 Correct 6 ms 9676 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 ms 9644 KB Output is correct
10 Correct 6 ms 9628 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9620 KB Output is correct
6 Correct 6 ms 9676 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 ms 9644 KB Output is correct
10 Correct 6 ms 9628 KB Output is correct
11 Correct 9 ms 9884 KB Output is correct
12 Correct 7 ms 9804 KB Output is correct
13 Correct 7 ms 9804 KB Output is correct
14 Correct 8 ms 9840 KB Output is correct
15 Correct 9 ms 9804 KB Output is correct
16 Correct 8 ms 9804 KB Output is correct
17 Correct 8 ms 9804 KB Output is correct
18 Correct 8 ms 9936 KB Output is correct
19 Correct 7 ms 9932 KB Output is correct
20 Correct 9 ms 9932 KB Output is correct
21 Correct 8 ms 9932 KB Output is correct
22 Correct 8 ms 9976 KB Output is correct
23 Correct 8 ms 9932 KB Output is correct
24 Correct 8 ms 9804 KB Output is correct
25 Correct 8 ms 9864 KB Output is correct
26 Correct 9 ms 9932 KB Output is correct
27 Correct 8 ms 9932 KB Output is correct
28 Correct 8 ms 9952 KB Output is correct
29 Correct 8 ms 9932 KB Output is correct
30 Correct 8 ms 9932 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 577 ms 35076 KB Output is correct
2 Correct 232 ms 39128 KB Output is correct
3 Correct 569 ms 38500 KB Output is correct
4 Correct 236 ms 39196 KB Output is correct
5 Correct 561 ms 36080 KB Output is correct
6 Correct 233 ms 39180 KB Output is correct
7 Correct 549 ms 36380 KB Output is correct
8 Correct 229 ms 39096 KB Output is correct
9 Correct 639 ms 35504 KB Output is correct
10 Correct 633 ms 33320 KB Output is correct
11 Correct 638 ms 35512 KB Output is correct
12 Correct 646 ms 37556 KB Output is correct
13 Correct 633 ms 33204 KB Output is correct
14 Correct 682 ms 37764 KB Output is correct
15 Correct 671 ms 37848 KB Output is correct
16 Correct 643 ms 33868 KB Output is correct
17 Correct 653 ms 34400 KB Output is correct
18 Correct 679 ms 34352 KB Output is correct
19 Correct 645 ms 36996 KB Output is correct
20 Correct 667 ms 38456 KB Output is correct
21 Correct 6 ms 9640 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9620 KB Output is correct
6 Correct 6 ms 9676 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 ms 9644 KB Output is correct
10 Correct 6 ms 9628 KB Output is correct
11 Correct 9 ms 9884 KB Output is correct
12 Correct 7 ms 9804 KB Output is correct
13 Correct 7 ms 9804 KB Output is correct
14 Correct 8 ms 9840 KB Output is correct
15 Correct 9 ms 9804 KB Output is correct
16 Correct 8 ms 9804 KB Output is correct
17 Correct 8 ms 9804 KB Output is correct
18 Correct 8 ms 9936 KB Output is correct
19 Correct 7 ms 9932 KB Output is correct
20 Correct 9 ms 9932 KB Output is correct
21 Correct 8 ms 9932 KB Output is correct
22 Correct 8 ms 9976 KB Output is correct
23 Correct 8 ms 9932 KB Output is correct
24 Correct 8 ms 9804 KB Output is correct
25 Correct 8 ms 9864 KB Output is correct
26 Correct 9 ms 9932 KB Output is correct
27 Correct 8 ms 9932 KB Output is correct
28 Correct 8 ms 9952 KB Output is correct
29 Correct 8 ms 9932 KB Output is correct
30 Correct 8 ms 9932 KB Output is correct
31 Correct 577 ms 35076 KB Output is correct
32 Correct 232 ms 39128 KB Output is correct
33 Correct 569 ms 38500 KB Output is correct
34 Correct 236 ms 39196 KB Output is correct
35 Correct 561 ms 36080 KB Output is correct
36 Correct 233 ms 39180 KB Output is correct
37 Correct 549 ms 36380 KB Output is correct
38 Correct 229 ms 39096 KB Output is correct
39 Correct 639 ms 35504 KB Output is correct
40 Correct 633 ms 33320 KB Output is correct
41 Correct 638 ms 35512 KB Output is correct
42 Correct 646 ms 37556 KB Output is correct
43 Correct 633 ms 33204 KB Output is correct
44 Correct 682 ms 37764 KB Output is correct
45 Correct 671 ms 37848 KB Output is correct
46 Correct 643 ms 33868 KB Output is correct
47 Correct 653 ms 34400 KB Output is correct
48 Correct 679 ms 34352 KB Output is correct
49 Correct 645 ms 36996 KB Output is correct
50 Correct 667 ms 38456 KB Output is correct
51 Correct 6 ms 9640 KB Output is correct
52 Correct 475 ms 26200 KB Output is correct
53 Correct 501 ms 26224 KB Output is correct
54 Correct 506 ms 26296 KB Output is correct
55 Correct 517 ms 26280 KB Output is correct
56 Correct 507 ms 26276 KB Output is correct
57 Correct 496 ms 26188 KB Output is correct
58 Correct 486 ms 28432 KB Output is correct
59 Correct 438 ms 28476 KB Output is correct
60 Correct 560 ms 27964 KB Output is correct
61 Correct 589 ms 27832 KB Output is correct
62 Correct 231 ms 39100 KB Output is correct
63 Correct 231 ms 39152 KB Output is correct
64 Correct 227 ms 38964 KB Output is correct
65 Correct 227 ms 39116 KB Output is correct
66 Correct 366 ms 32888 KB Output is correct
67 Correct 378 ms 32836 KB Output is correct
68 Correct 386 ms 33016 KB Output is correct
69 Correct 391 ms 32892 KB Output is correct
70 Correct 377 ms 32904 KB Output is correct
71 Correct 402 ms 32884 KB Output is correct
72 Correct 378 ms 32888 KB Output is correct
73 Correct 370 ms 32264 KB Output is correct
74 Correct 375 ms 33004 KB Output is correct
75 Correct 379 ms 32936 KB Output is correct
76 Correct 544 ms 31164 KB Output is correct
77 Correct 519 ms 29672 KB Output is correct
78 Correct 638 ms 34252 KB Output is correct
79 Correct 638 ms 32504 KB Output is correct
80 Correct 668 ms 38220 KB Output is correct
81 Correct 631 ms 35512 KB Output is correct
82 Correct 657 ms 35404 KB Output is correct
83 Correct 667 ms 32996 KB Output is correct
84 Correct 686 ms 37728 KB Output is correct
85 Correct 672 ms 36568 KB Output is correct
86 Correct 667 ms 32588 KB Output is correct
87 Correct 657 ms 34108 KB Output is correct
88 Correct 602 ms 34892 KB Output is correct
89 Correct 571 ms 31676 KB Output is correct
90 Correct 589 ms 31604 KB Output is correct
91 Correct 574 ms 33316 KB Output is correct
92 Correct 561 ms 32296 KB Output is correct
93 Correct 567 ms 31888 KB Output is correct
94 Correct 591 ms 31316 KB Output is correct
95 Correct 613 ms 32952 KB Output is correct
96 Correct 551 ms 31576 KB Output is correct
97 Correct 553 ms 33184 KB Output is correct